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Finding the Fourth Proportional to 283,031.64, 424,393.74 and 140,564.34

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Solution

The fourth proportional to 283,031.64, 424,393.74 and 140,564.34 is: 210,770.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,031.64 : 424,393.74 = 140,564.34 : x
  2. Step 2: Convert to fraction form
    283,031.64/424,393.74 = 140,564.34/x
  3. Step 3: Cross multiply
    283,031.64x = 424,393.74 × 140,564.34
  4. Step 4: Simplify right side
    283,031.64x = 59,654,625,963.23
  5. Step 5: Solve for x
    x = 59,654,625,963.23/283,031.64
  6. Step 6: Final answer
    x = 210,770.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.